trureturingGitHub MATHEMATICAL ATLAS

Factorization / CONCEPT

Logarithmic Length from Prime Factorization

A natural number's logarithm is the exponent-weighted sum of its prime-factor logarithms.

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THEOREM

Prime-factor length equals the natural logarithm

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Logarithmic Length from Prime FactorizationLogarithmic Length from PrimeFactorizationGlobal Code Length AdditivityGlobal Code Length Additivity
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Factorization
Node ID
D5/S3/Factorization/LogarithmicLength
Repository path
D5/S3/Factorization/LogarithmicLength.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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